Answer:
(c) Minimum value is -16.
Step-by-step explanation:
This will have a minimum value because the leading coefficient is positive.
We can find the minimum value by converting the function to vertex form:
f(x) = x^2 + 4x - 12
f(x) = (x + 2)^2 - 4 - 12
f(x) = (x + 2)^2 - 16.
The minimum value is -16.
So when you draw the graph the turning point is at (-2, -16).
Answer:
b
Step-by-step explanation:
it is the highest point but like its in the middle
<h3>
Answer: 375</h3>
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Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
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As a sort of "check", we can add up partial sums like so
- 300+60 = 360
- 300+60+12 = 360+12 = 372
- 300+60+12+2.4 = 372+2.4 = 374.4
- 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88
and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
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Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
Answer:
Step-by-step explanation:
GIVEN: Emma started biking to the coffee shop traveling 
, after some time the bike got a flat so Emma walked the rest of the way, traveling 
If the total trip to the coffee shop took 
and it was 
away.
TO FIND: how long did Emma travel at each speed.
SOLUTION:
Let the distance traveled by Emma through bike is 
Total time taken when traveled by bike 
Distance traveled through feet 
Total time taken when traveled by feet 
Now,
Total time taken 
Distance traveled through feet 
Hence distance traveled using bike is 
and by feet is 
550 * 4.5% = 24.75
24.75 * 3 = 74.25
The loan has accumulated to $74.25
The total paid back would be $624.25
Hope I could help :)
